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The sum of the roots of the equation tan...

The sum of the roots of the equation `tan^(-1)(x+3)-tan^(-1)(x-3)="sin"^(-1)(3)/(5)` is

A

`3`

B

`2`

C

`0`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
D
`tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)`
`implies6/(x^(2)-8)=3/4impliesx=+-4`
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